The images are uploaded to the uploads folder with names like: 'bxlkyqrccaapyha.png'
But they are 0KB and therefore empty (blank). I'm sorry if I'm bothering you, but I can't find an error log. Where is this?

My host is asking if the plugin is trying to make a localhost connection. (That type of connection is not possible with my hosting or something) Because after including the IP's on the whitelist and enabling the url_fopen it's unfortunately still not working :(

I'm kind of clueless in this... but I also came up to a possible CURL soloution? Is it possible to make the connection with the twimg.com server with CURL instead of file_get_contents?

ok so i made a working cron-job that succesfully gets the posts after 30 minutes. But it is still nog getting the images. Is there somewhere in the script a way to adjust the way the images are received that surpasses my hosts limitations?

Unfortunately it's still not working. Still a 0kb image is uploaded to the uploads folder... This is defenitely a hosting problem, but I seem to be out of options here. My host doesn't allow fopen_url or curl apparently. They say they give the option to whitelist some IP's but I already asked this and it's not giving me any images so far.
Do you think I should just take another hosting company. Is this a problem that occurs with a lot of hosts?

Or is there still another option to show the images in my blogposts. e.g. by iframe or something else?

My host say they're sure there are no outgoing connections being blocked in any kind by there hosting. I'm kind of clueless at the moment.

I seem to be able to get the posts, and also the right file and link name to the twitter server. But the image is just not uploaded to the uploads folder correctly. Do you have any suggestions left to try or debug, before I go change a host and come to the same conclusion?

I'm very grateful for your help already. I still hope to resolve this anytime soon. preferable with my current host of course.